Question

Please show your work

Answer 1

n is number of sides of polygon

#b

put n=60

• 60sin(360/2(60))
• 60sin(360/120)
• 60sin(3)
• 3.14016

π=3.14159

Difference

• 3.14159-3.14016
• 0.00143

Answer 2

Given expression:

`n * \sin\left((360)/(2n)\right)`

a) The
`n` stands for the number of sides of a regular polygon.

b) If
`n=60`

`\implies 60 * \sin\left((360)/(2(60))\right)=60 \sin(3)=3.140157375...`

Therefore, the difference between the perimeter and π is:

`\implies \pi - 60 \sin(3)=0.001435279013...`